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kolbaska11 [484]
3 years ago
5

There are 18 tables at a party. Each table can seat 6 people. Complete the equation to show which operation to use and the total

number of people that can be seated at the party. Then complete the sentence to explain your reasoning.
Mathematics
2 answers:
Andrews [41]3 years ago
7 0
Say 18 * 6 =108 so therfore you can sit 108 people at your party
gulaghasi [49]3 years ago
4 0

Answer:

Ok so.... this is a multiplication problem. You need to do 6 x 18  to find out how many people can be seated in all at the 18 tables. Well, 6 x 18 = 108. So, 108 people can be seated at all the tables altogether. Final answer: 108

This is a multiplication problem because you're looking for how many people can be seated. But, if there were 18 people and 6 people were allowed per table, but you wanted to know how many tables were needed; that would be a division problem. Hope this was what you were looking for!


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Answer:

Vertex: (-1/2, -25/4)

Focus: (-1/2, -6)

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x = -2, -1, -1/2, 1, 2

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Twelve less than a p <br> number is two
Ipatiy [6.2K]

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P = 14

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4 0
3 years ago
Find the measure of the angle between the vectors 〈6, –3, 1〉 and 〈8, 9, –11〉
Pepsi [2]

Answer:

Option C.

Step-by-step explanation:

We know that for two vectors:

A = 〈a₁, a₂, a₃ 〉and  B =〈b₁, b₂, b₃〉.

The dot product between A and B is:

A.B = IAI*IBI*cos(θ)

Where θ is the angle between the vectors.

And the dot product can be also written as:

A.B = a₁*b₁ + a₂*b₂ + a₃*b₃

With that, we can find the angle between our vectors.

In this case, the vectors are:

A = 〈6, –3, 1〉 and B = 〈8, 9, –11〉

The modules are:

IAI = √( 6^2 + (-3)^2 + 1^2) = 6.78

IBI = √( 8^2 + 9^2 + (-11)^2) = 16.31

And the dot product between A and B is:

A.B = 6*8 + (-3)*9 + 1*(-11) = 10

Then we have that:

10 = IAI*IBI*cos(θ) = ( 6.78)*(16.31)*cos(θ)

10/(6.78*16.31) = cos(θ)

Now remember the inverse cosine function, Acos(x), this function has the property:

Acos(cos(x)) = x

If we apply this to both sides, we get:

Acos(10/(6.78*16.31)) = Acos(cos(θ)) = θ = 84.8°

The correct option is C.

7 0
3 years ago
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